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Recent studies of electrical transport, both theoretical and experimental, near the bandwidth-tuned Mott metal-insulator transition have uncovered apparent quantum critical scaling of the electrical resistivity at elevated temperatures,…

Strongly Correlated Electrons · Physics 2019-11-06 Heike Eisenlohr , Seung-Sup B. Lee , Matthias Vojta

In this paper we investigate the universality and scaling properties of the well-known quantities in classical statistical mechanics near the quantum phase transition point. We show that transverse susceptibility and derivatives of…

Strongly Correlated Electrons · Physics 2015-03-17 R. Jafari

We investigate the stability of Quantum Critical Points (QCPs) in the presence of two competing phases. These phases near QCPs are assumed to be either classical or quantum and assumed to repulsively interact via square-square interactions.…

Strongly Correlated Electrons · Physics 2010-11-19 Jian-Huang She , Jan Zaanen , Alan R. Bishop , Alexander V. Balatsky

Concepts of the complex partition functions and the Fisher zeros provide intrinsic statistical mechanisms for finite temperature and real time dynamical phase transitions. We extend the utility of these complexifications to quantum phase…

Strongly Correlated Electrons · Physics 2024-09-25 Yang Liu , Songtai Lv , Yang Yang , Haiyuan Zou

We address a recent theoretical discrepancy concerning the Kondo effect in quantum dots with an even number of electrons where spin-singlet and -triplet states are nearly degenerate. We show that the discrepancy arises from the fact that…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Mikio Eto , Yuli V. Nazarov

We show that the interplay of geometric criticality and quantum fluctuations leads to a novel universality class for the percolation quantum phase transition in diluted magnets. All critical exponents involving dynamical correlations are…

Strongly Correlated Electrons · Physics 2007-05-23 Thomas Vojta , Joerg Schmalian

We present a theory of the scaling behavior of the thermodynamic, transport and dynamical properties of a three-dimensional metal governed by $d$-dimensional fluctuations at a quantum critical point, where the electron quasiparticle…

Strongly Correlated Electrons · Physics 2017-03-29 Peter Wölfle , Jörg Schmalian , Elihu Abrahams

A phase transition indicates a sudden change in the properties of a large system. For temperature-driven phase transitions this is related to non-analytic behavior of the free energy density at the critical temperature: The knowledge of the…

Statistical Mechanics · Physics 2015-03-20 Markus Heyl , Anatoli Polkovnikov , Stefan Kehrein

We investigate the effects of smooth inhomogeneities at first-order quantum transitions (FOQT), such as those arising from the presence of a space-dependent external field, which smooths out the typical discontinuities of the low-energy…

Statistical Mechanics · Physics 2015-03-05 Massimo Campostrini , Jacopo Nespolo , Andrea Pelissetto , Ettore Vicari

A hyperscaling relation for the critical exponents of absorbing phase transitions is tested in the bosonic pair contact process with diffusion. To this end spreading is considered, i.e. the time evolution out of an initial seed. It is shown…

Statistical Mechanics · Physics 2016-08-31 Matthias Paessens

We have carried out a detailed study of scaling region using detrended fractal analysis test by applying different forcing likewise noise, sinusoidal, square on the floating potential fluctuations acquired under different pressures in a DC…

Data Analysis, Statistics and Probability · Physics 2017-11-22 Debajyoti Saha , Pankaj Kumar Shaw , Sabuj Ghosh , M. S. Janaki , A. N. Sekar Iyengar

Quantum criticality describes the collective fluctuations of matter undergoing a second-order phase transition at zero temperature. It is being discussed in a number of strongly correlated electron systems. A prototype case occurs in the…

Strongly Correlated Electrons · Physics 2011-02-28 Qimiao Si

We face the problem of detecting and featuring footprints of quantum criticality in the finite-temperature behavior of quantum many-body systems. Our strategy is that of comparing the phase diagram of a system displaying a T=0 quantum phase…

Statistical Mechanics · Physics 2007-08-09 Alessandro Cuccoli , Alessio Taiti , Ruggero Vaia , Paola Verrucchi

We consider the quantum ferromagnetic transition at zero temperature in clean itinerant electron systems. We find that the Landau-Ginzburg-Wilson order parameter field theory breaks down since the electron-electron interaction leads to…

Statistical Mechanics · Physics 2009-10-28 Thomas Vojta , D. Belitz , R. Narayanan , T. R. Kirkpatrick

Dynamical processes on complex networks, ranging from biological, technological and social systems, show phase transitions between distinct global states of the system. Often, such transitions rely upon the interplay between the structure…

Physics and Society · Physics 2023-02-22 Hillel Sanhedrai , Shlomo Havlin

We show that if the excitations which become gapless at a quantum critical point also carry the electrical current, then a resistivity linear in temperature, as is observed in the copper-oxide high-temperature superconductors, obtains only…

Strongly Correlated Electrons · Physics 2009-11-10 Philip Phillips , Claudio Chamon

Many electronic systems exhibit striking features in their dynamical response over a prominent range of experimental parameters. While there are empirical suggestions of particular increasing length scales that accompany such transitions,…

Statistical Mechanics · Physics 2015-04-02 Zohar Nussinov , Patrick Johnson , Matthias J. Graf , Alexander V. Balatsky

We study the effects of symmetry-breaking defects at continuous quantum transitions (CQTs), which may arise from localized external fields coupled to the order-parameter operator. The problem is addressed within renormalization-group (RG)…

Statistical Mechanics · Physics 2022-05-10 Alessio Franchi , Davide Rossini , Ettore Vicari

Despite the fact that a complete theoretical description of critical phenomena in connection with phase transitions has been well-established through the renormalization group theory, the microscopic nature of the phase transitions remains…

Statistical Mechanics · Physics 2025-11-07 Yun-Tong Yang , Fu-Zhou Chen , Hong-Gang Luo

Universality is key to the theory of phase transition stating that the equilibrium properties of observables near a phase transition can be classified according to few critical exponents. These exponents rule an universal scaling behaviour…